-3x-6+6(x+1)=7x-6

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Solution for -3x-6+6(x+1)=7x-6 equation:


Simplifying
-3x + -6 + 6(x + 1) = 7x + -6

Reorder the terms:
-3x + -6 + 6(1 + x) = 7x + -6
-3x + -6 + (1 * 6 + x * 6) = 7x + -6
-3x + -6 + (6 + 6x) = 7x + -6

Reorder the terms:
-6 + 6 + -3x + 6x = 7x + -6

Combine like terms: -6 + 6 = 0
0 + -3x + 6x = 7x + -6
-3x + 6x = 7x + -6

Combine like terms: -3x + 6x = 3x
3x = 7x + -6

Reorder the terms:
3x = -6 + 7x

Solving
3x = -6 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
3x + -7x = -6 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-4x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4x = -6 + 0
-4x = -6

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5

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